Editing Linear discriminant analysis (section)

===Biomedical studies===

The main application of discriminant analysis in medicine is the assessment of severity state of a patient and prognosis of disease outcome. For example, during retrospective analysis, patients are divided into groups according to severity of disease – mild, moderate, and severe form. Then results of clinical and laboratory analyses are studied to reveal statistically different variables in these groups. Using these variables, discriminant functions are built to classify disease severity in future patients. Additionally, Linear Discriminant Analysis (LDA) can help select more discriminative samples for data augmentation, improving classification performance.<ref>{{cite journal | last1 = Moradi | first1 = M | last2 = Demirel | first2 = H | year = 2024 | title = Alzheimer's disease classification using 3D conditional progressive GAN-and LDA-based data selection | journal = Signal, Image and Video Processing | volume = 18 | issue = 2 | pages = 1847–1861 | doi = 10.1007/s11760-023-02878-4 }}</ref>

In biology, similar principles are used in order to classify and define groups of different biological objects, for example, to define phage types of Salmonella enteritidis based on Fourier transform infrared spectra,<ref>{{cite journal | last1 = Preisner | first1 = O | last2 = Guiomar | first2 = R | last3 = Machado | first3 = J | last4 = Menezes | first4 = JC | last5 = Lopes | first5 = JA | year = 2010 | title = Application of Fourier transform infrared spectroscopy and chemometrics for differentiation of Salmonella enterica serovar Enteritidis phage types | journal = Appl Environ Microbiol | volume = 76 | issue = 11| pages = 3538–3544 | doi=10.1128/aem.01589-09| pmid = 20363777 | pmc = 2876429 | bibcode = 2010ApEnM..76.3538P }}</ref> to detect animal source of ''Escherichia coli'' studying its virulence factors<ref>{{cite journal | last1 = David | first1 = DE | last2 = Lynne | first2 = AM | last3 = Han | first3 = J | last4 = Foley | first4 = SL | year = 2010 | title = Evaluation of virulence factor profiling in the characterization of veterinary Escherichia coli isolates | journal = Appl Environ Microbiol | volume = 76 | issue = 22| pages = 7509–7513 | doi=10.1128/aem.00726-10| pmid = 20889790 | pmc = 2976202 | bibcode = 2010ApEnM..76.7509D }}</ref> etc.